Tables for
Volume D
Physical properties of crystals
Edited by A. Authier

International Tables for Crystallography (2006). Vol. D, ch. 1.7, p. 216

Section 1.7.6. Glossary

B. Boulangera* and J. Zyssb

aLaboratoire de Spectrométrie Physique, Université Joseph Fourier, 140 avenue de la Physique, BP 87, 38 402 Saint-Martin-d'Hères, France, and bLaboratoire de Photonique Quantique et Moléculaire, Ecole Normale Supérieure de Cachan, 61 Avenue du Président Wilson, 94235 Cachan, France
Correspondence e-mail:

1.7.6. Glossary

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μ0 vacuum magnetic permeability
[epsilon]0 permittivity of free space
c velocity of light in a vacuum
P electronic polarization
Pn nth order electronic polarization
PNL nonlinear polarization
χ(n) nth order dielectric susceptibility tensor
[epsilon] dielectric tensor
n refractive index
nx, ny, nz principal refractive indices
(x, y, z) principal axes of the index surface (optical frame)
no, ne refractive indices of the ordinary and extraordinary eigen modes
T transmission coefficient
V half of the angle between optic axes
ω laser circular frequency
λ laser wavelength
[\varphi] laser phase
vg laser group velocity
k wavevector
u unit wavevector
(θ, [\varphi]) spherical coordinates of the wavevector in the optical frame
Π neutral vibration plane
E electric field vector
(e, E) unit vector and amplitude of the electric field
D dielectric displacement vector
d unit dielectric displacement vector
H magnetic field vector
S Poynting vector
s unit Poynting vector
W work done per unit time
([X, Y, Z]) orthonormal wave frame where Z is along the wavevector
ρ double refraction angle (walk-off angle)
[\nabla] nabla operator
[\otimes] tensorial product
· tensorial contraction
[\times] vectorial product
Q* complex conjugate of Q
w0 laser beam waist radius
ZR Rayleigh length of the laser beam
τ laser pulse half duration
f repetition rate of the pulsed laser
P, P(t) laser instantaneous power
I instantaneous laser intensity
[\tilde E] total energy per laser pulse
[\tilde P] average laser power
Pc laser peak power
L crystal length
χeff, deff effective coefficient
F(n) nth order field tensor
Δk phase mismatch
ηSHG conversion efficiency of second harmonic generation
G, h spatial walk-off attenuation functions


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